Arbitrage on a contract capped at twice the stock

A contract $V$ pays $\min(2S_T,4)$ at expiry and is priced at $3.4$. Also available: European puts struck at $4$ (price $2.4$) and $2$ (price $0.8$), the stock at $S_0=3$, and a bond paying $1$ at expiry for $0.9$. Find the arbitrage and report the sum of positions in the order (contract) + (4-strike puts) + (2-strike puts) + (bonds), shorts negative.

$1$. Since $\min(2S_T,4)=4-2(2-S_T)^+$, the contract equals four bonds minus two $2$-strike puts, worth $3.6-1.6=2$, well under $3.4$. Sell $V$, buy $4$ bonds and sell $2$ of the $2$-strike puts: $-1+0-2+4=1$.